Dataset statistics
| Number of variables | 9 |
|---|---|
| Number of observations | 1163 |
| Missing cells | 0 |
| Missing cells (%) | 0.0% |
| Duplicate rows | 0 |
| Duplicate rows (%) | 0.0% |
| Total size in memory | 81.9 KiB |
| Average record size in memory | 72.1 B |
Variable types
| NUM | 9 |
|---|
Reproduction
| Analysis started | 2020-12-20 14:06:17.743727 |
|---|---|
| Analysis finished | 2020-12-20 14:06:37.472952 |
| Version | pandas-profiling v2.6.0 |
| Command line | pandas_profiling --config_file config.yaml [YOUR_FILE.csv] |
| Download configuration | config.yaml |
P1
Real number (ℝ)
| Distinct count | 985 |
|---|---|
| Unique (%) | 84.7% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.9595240027 |
|---|---|
| Minimum | -0.312219463 |
| Maximum | 1 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.312219463 |
|---|---|
| 5-th percentile | 0.7970839442 |
| Q1 | 0.9830515365 |
| median | 0.999315193 |
| Q3 | 0.999993262 |
| 95-th percentile | 1 |
| Maximum | 1 |
| Range | 1.312219463 |
| Interquartile range (IQR) | 0.0169417255 |
Descriptive statistics
| Standard deviation | 0.1278252788 |
|---|---|
| Coefficient of variation (CV) | 0.1332173854 |
| Kurtosis | 36.17709673 |
| Mean | 0.9595240027 |
| Median Absolute Deviation (MAD) | 0.05980684393 |
| Skewness | -5.51351804 |
| Sum | 1115.926415 |
| Variance | 0.01633930191 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-0.31221946 0.59576948 0.79787597 0.91776083 0.96761804 ... 0.99999906 0.99999996 1. 1. 1. ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 1 | 165 | 14.2% | |
| 0.999999999 | 6 | 0.5% | |
| 0.999999998 | 5 | 0.4% | |
| 0.999999517 | 2 | 0.2% | |
| 0.999999995 | 2 | 0.2% | |
| 0.999397152 | 2 | 0.2% | |
| 0.999999986 | 2 | 0.2% | |
| 0.999999997 | 2 | 0.2% | |
| 0.935332189 | 1 | 0.1% | |
| 0.99574578 | 1 | 0.1% | |
| Other values (975) | 975 | 83.8% |
| Value | Count | Frequency (%) | |
| -0.312219463 | 1 | 0.1% | |
| -0.166308476 | 1 | 0.1% | |
| -0.133945433 | 1 | 0.1% | |
| -0.122684763 | 1 | 0.1% | |
| -0.009317187 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 1 | 165 | 14.2% | |
| 0.999999999 | 6 | 0.5% | |
| 0.999999998 | 5 | 0.4% | |
| 0.999999997 | 2 | 0.2% | |
| 0.999999996 | 1 | 0.1% |
P2
Real number (ℝ)
| Distinct count | 1092 |
|---|---|
| Unique (%) | 93.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.8561658259 |
|---|---|
| Minimum | -0.531958013 |
| Maximum | 1 |
| Zeros | 1 |
| Zeros (%) | 0.1% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.531958013 |
|---|---|
| 5-th percentile | 0.2810347777 |
| Q1 | 0.8406747645 |
| median | 0.969780138 |
| Q3 | 0.99657805 |
| 95-th percentile | 1 |
| Maximum | 1 |
| Range | 1.531958013 |
| Interquartile range (IQR) | 0.1559032855 |
Descriptive statistics
| Standard deviation | 0.244010227 |
|---|---|
| Coefficient of variation (CV) | 0.285003465 |
| Kurtosis | 5.89665047 |
| Mean | 0.8561658259 |
| Median Absolute Deviation (MAD) | 0.1693315585 |
| Skewness | -2.3976505 |
| Sum | 995.7208556 |
| Variance | 0.05954099086 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-0.53195801 -0.00300441 0.393161 0.71103978 0.83790529 ... 0.99873578 0.99978726 0.99999676 0.99999998 1. ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 1 | 72 | 6.2% | |
| 0.583596373 | 1 | 0.1% | |
| 0.6754244 | 1 | 0.1% | |
| 0.920282853 | 1 | 0.1% | |
| 0.87016915 | 1 | 0.1% | |
| 0.971404163 | 1 | 0.1% | |
| 0.999058744 | 1 | 0.1% | |
| 0.968609748 | 1 | 0.1% | |
| 0.995743472 | 1 | 0.1% | |
| 0.842575984 | 1 | 0.1% | |
| Other values (1082) | 1082 | 93.0% |
| Value | Count | Frequency (%) | |
| -0.531958013 | 1 | 0.1% | |
| -0.314414503 | 1 | 0.1% | |
| -0.291742386 | 1 | 0.1% | |
| -0.280000339 | 1 | 0.1% | |
| -0.24824377 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 1 | 72 | 6.2% | |
| 0.999999957 | 1 | 0.1% | |
| 0.999999861 | 1 | 0.1% | |
| 0.999999585 | 1 | 0.1% | |
| 0.99999927 | 1 | 0.1% |
| Distinct count | 1108 |
|---|---|
| Unique (%) | 95.3% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.2161109005 |
|---|---|
| Minimum | -0.818128394 |
| Maximum | 1 |
| Zeros | 56 |
| Zeros (%) | 4.8% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.818128394 |
|---|---|
| 5-th percentile | -0.4198713207 |
| Q1 | -0.0982188595 |
| median | 0.175910409 |
| Q3 | 0.5643935345 |
| 95-th percentile | 0.869927032 |
| Maximum | 1 |
| Range | 1.818128394 |
| Interquartile range (IQR) | 0.662612394 |
Descriptive statistics
| Standard deviation | 0.4084255292 |
|---|---|
| Coefficient of variation (CV) | 1.889888609 |
| Kurtosis | -0.9339333351 |
| Mean | 0.2161109005 |
| Median Absolute Deviation (MAD) | 0.3497818914 |
| Skewness | 0.03017237361 |
| Sum | 251.3369773 |
| Variance | 0.1668114129 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-8.18128394e-01 -5.16893606e-01 -2.64677795e-01 -5.06667500e-04 9.16040500e-04 8.54898466e-01 1.00000000e+00], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0 | 56 | 4.8% | |
| 0.433580298 | 1 | 0.1% | |
| 0.005992013 | 1 | 0.1% | |
| -0.166124956 | 1 | 0.1% | |
| -0.467118981 | 1 | 0.1% | |
| 0.570724625 | 1 | 0.1% | |
| -0.743152886 | 1 | 0.1% | |
| -0.495672031 | 1 | 0.1% | |
| 0.847387914 | 1 | 0.1% | |
| 0.587378552 | 1 | 0.1% | |
| Other values (1098) | 1098 | 94.4% |
| Value | Count | Frequency (%) | |
| -0.818128394 | 1 | 0.1% | |
| -0.793428438 | 1 | 0.1% | |
| -0.743152886 | 1 | 0.1% | |
| -0.732418095 | 1 | 0.1% | |
| -0.726504113 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 1 | 1 | 0.1% | |
| 0.999397198 | 1 | 0.1% | |
| 0.99714357 | 1 | 0.1% | |
| 0.992045251 | 1 | 0.1% | |
| 0.988913842 | 1 | 0.1% |
| Distinct count | 1107 |
|---|---|
| Unique (%) | 95.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.1491940316 |
|---|---|
| Minimum | -0.83915785 |
| Maximum | 0.979015216 |
| Zeros | 57 |
| Zeros (%) | 4.9% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.83915785 |
|---|---|
| 5-th percentile | -0.4522276887 |
| Q1 | -0.1443266505 |
| median | 0.097104705 |
| Q3 | 0.4579815565 |
| 95-th percentile | 0.8095228938 |
| Maximum | 0.979015216 |
| Range | 1.818173066 |
| Interquartile range (IQR) | 0.602308207 |
Descriptive statistics
| Standard deviation | 0.3880719904 |
|---|---|
| Coefficient of variation (CV) | 2.601122755 |
| Kurtosis | -0.7345647834 |
| Mean | 0.1491940316 |
| Median Absolute Deviation (MAD) | 0.3253962127 |
| Skewness | 0.0906515688 |
| Sum | 173.5126587 |
| Variance | 0.1505998697 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-8.39157850e-01 -5.13500499e-01 -2.65090613e-01 -2.96563000e-04 2.08311500e-04 6.22406551e-01 8.97550725e-01 9.79015216e-01], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0 | 57 | 4.9% | |
| 0.268198803 | 1 | 0.1% | |
| -0.233215034 | 1 | 0.1% | |
| 0.450293131 | 1 | 0.1% | |
| -0.250968088 | 1 | 0.1% | |
| 0.323311335 | 1 | 0.1% | |
| -0.001275444 | 1 | 0.1% | |
| -0.193477634 | 1 | 0.1% | |
| -0.078511907 | 1 | 0.1% | |
| 0.427280059 | 1 | 0.1% | |
| Other values (1097) | 1097 | 94.3% |
| Value | Count | Frequency (%) | |
| -0.83915785 | 1 | 0.1% | |
| -0.821092412 | 1 | 0.1% | |
| -0.810818562 | 1 | 0.1% | |
| -0.792628348 | 1 | 0.1% | |
| -0.777157934 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 0.979015216 | 1 | 0.1% | |
| 0.970962506 | 1 | 0.1% | |
| 0.967362541 | 1 | 0.1% | |
| 0.958902237 | 1 | 0.1% | |
| 0.948303812 | 1 | 0.1% |
| Distinct count | 1163 |
|---|---|
| Unique (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.6003686052 |
|---|---|
| Minimum | -0.68273404 |
| Maximum | 0.999998999 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.68273404 |
|---|---|
| 5-th percentile | -0.0669913822 |
| Q1 | 0.384498611 |
| median | 0.693157154 |
| Q3 | 0.87393708 |
| 95-th percentile | 0.9859021497 |
| Maximum | 0.999998999 |
| Range | 1.682733039 |
| Interquartile range (IQR) | 0.489438469 |
Descriptive statistics
| Standard deviation | 0.3346911039 |
|---|---|
| Coefficient of variation (CV) | 0.5574760256 |
| Kurtosis | 0.312743063 |
| Mean | 0.6003686052 |
| Median Absolute Deviation (MAD) | 0.2744050866 |
| Skewness | -0.9336641343 |
| Sum | 698.2286878 |
| Variance | 0.1120181351 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-0.68273404 -0.28293661 0.05460237 0.26245205 0.68678023 0.94660236 0.99802858 0.999999 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0.303700424 | 1 | 0.1% | |
| 0.458011471 | 1 | 0.1% | |
| 0.217011244 | 1 | 0.1% | |
| 0.864190541 | 1 | 0.1% | |
| 0.996746606 | 1 | 0.1% | |
| 0.633403479 | 1 | 0.1% | |
| 0.974599729 | 1 | 0.1% | |
| 0.907571918 | 1 | 0.1% | |
| 0.988915121 | 1 | 0.1% | |
| 0.364442719 | 1 | 0.1% | |
| Other values (1153) | 1153 | 99.1% |
| Value | Count | Frequency (%) | |
| -0.68273404 | 1 | 0.1% | |
| -0.626728179 | 1 | 0.1% | |
| -0.574856356 | 1 | 0.1% | |
| -0.511736404 | 1 | 0.1% | |
| -0.4800747 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 0.999998999 | 1 | 0.1% | |
| 0.99994973 | 1 | 0.1% | |
| 0.999867966 | 1 | 0.1% | |
| 0.999844953 | 1 | 0.1% | |
| 0.999637227 | 1 | 0.1% |
P6
Real number (ℝ)
| Distinct count | 1157 |
|---|---|
| Unique (%) | 99.5% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.5248452312 |
|---|---|
| Minimum | -0.859528505 |
| Maximum | 1 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.859528505 |
|---|---|
| 5-th percentile | -0.2091459033 |
| Q1 | 0.2437151465 |
| median | 0.594119555 |
| Q3 | 0.8680788495 |
| 95-th percentile | 0.9956006918 |
| Maximum | 1 |
| Range | 1.859528505 |
| Interquartile range (IQR) | 0.624363703 |
Descriptive statistics
| Standard deviation | 0.3865651475 |
|---|---|
| Coefficient of variation (CV) | 0.7365316944 |
| Kurtosis | -0.4922840912 |
| Mean | 0.5248452312 |
| Median Absolute Deviation (MAD) | 0.3262234297 |
| Skewness | -0.6230076373 |
| Sum | 610.3950039 |
| Variance | 0.1494326132 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-0.8595285 -0.50582192 -0.26328153 0.00437773 0.34891911 ... 0.96657649 0.98606609 0.99873226 0.99999998 1. ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 1 | 7 | 0.6% | |
| -0.387734855 | 1 | 0.1% | |
| 0.991244238 | 1 | 0.1% | |
| 0.999754995 | 1 | 0.1% | |
| 0.672077403 | 1 | 0.1% | |
| 0.875194235 | 1 | 0.1% | |
| -0.138491348 | 1 | 0.1% | |
| 0.256862182 | 1 | 0.1% | |
| -0.002255474 | 1 | 0.1% | |
| 0.546864316 | 1 | 0.1% | |
| Other values (1147) | 1147 | 98.6% |
| Value | Count | Frequency (%) | |
| -0.859528505 | 1 | 0.1% | |
| -0.714135509 | 1 | 0.1% | |
| -0.641931242 | 1 | 0.1% | |
| -0.52004809 | 1 | 0.1% | |
| -0.491595743 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 1 | 7 | 0.6% | |
| 0.999999961 | 1 | 0.1% | |
| 0.999991993 | 1 | 0.1% | |
| 0.999991252 | 1 | 0.1% | |
| 0.999985324 | 1 | 0.1% |
| Distinct count | 1161 |
|---|---|
| Unique (%) | 99.8% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.0009884078831 |
|---|---|
| Minimum | -0.0353133 |
| Maximum | 34.36719456 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.0353133 |
|---|---|
| 5-th percentile | -0.0337253732 |
| Q1 | -0.0328484405 |
| median | -0.032548002 |
| Q3 | -0.031953721 |
| 95-th percentile | -0.0293531277 |
| Maximum | 34.36719456 |
| Range | 34.40250786 |
| Interquartile range (IQR) | 0.0008947195 |
Descriptive statistics
| Standard deviation | 1.015356315 |
|---|---|
| Coefficient of variation (CV) | 1027.264485 |
| Kurtosis | 1132.434593 |
| Mean | 0.0009884078831 |
| Median Absolute Deviation (MAD) | 0.06595726222 |
| Skewness | 33.47667454 |
| Sum | 1.149518368 |
| Variance | 1.030948447 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-3.53133000e-02 -3.41203185e-02 -3.32155560e-02 -3.29306505e-02 -3.27766605e-02 ... -2.90472840e-02 -2.78040440e-02 -2.08401355e-02 1.68666090e-02 3.43671946e+01], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| -0.032731159 | 2 | 0.2% | |
| -0.032451159 | 2 | 0.2% | |
| -0.032900568 | 1 | 0.1% | |
| -0.034532881 | 1 | 0.1% | |
| -0.032877649 | 1 | 0.1% | |
| -0.032550813 | 1 | 0.1% | |
| -0.0353133 | 1 | 0.1% | |
| -0.033468589 | 1 | 0.1% | |
| -0.031321789 | 1 | 0.1% | |
| -0.032593534 | 1 | 0.1% | |
| Other values (1151) | 1151 | 99.0% |
| Value | Count | Frequency (%) | |
| -0.0353133 | 1 | 0.1% | |
| -0.035115316 | 1 | 0.1% | |
| -0.035102945 | 1 | 0.1% | |
| -0.035011336 | 1 | 0.1% | |
| -0.034942826 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 34.36719456 | 1 | 0.1% | |
| 3.957173837 | 1 | 0.1% | |
| 0.022531708 | 1 | 0.1% | |
| 0.01120151 | 1 | 0.1% | |
| -0.006127962 | 1 | 0.1% |
P8
Real number (ℝ)
| Distinct count | 1158 |
|---|---|
| Unique (%) | 99.6% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | -0.002699656731 |
|---|---|
| Minimum | -1.066400989 |
| Maximum | 2.177948117 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -1.066400989 |
|---|---|
| 5-th percentile | -1.052579491 |
| Q1 | -0.8884636035 |
| median | -0.345308732 |
| Q3 | 0.7029833895 |
| 95-th percentile | 1.987846283 |
| Maximum | 2.177948117 |
| Range | 3.244349106 |
| Interquartile range (IQR) | 1.591446993 |
Descriptive statistics
| Standard deviation | 0.9968683947 |
|---|---|
| Coefficient of variation (CV) | -369.2574627 |
| Kurtosis | -0.6787063579 |
| Mean | -0.002699656731 |
| Median Absolute Deviation (MAD) | 0.8508799522 |
| Skewness | 0.770945336 |
| Sum | -3.139700778 |
| Variance | 0.9937465963 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-1.06640099 -1.06265361 -1.00926593 -0.88479891 -0.25291386 0.80339605 2.12440416 2.17793931 2.17794812], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 2.177948117 | 6 | 0.5% | |
| -0.943480309 | 1 | 0.1% | |
| -1.010018329 | 1 | 0.1% | |
| 1.910211434 | 1 | 0.1% | |
| 1.419544597 | 1 | 0.1% | |
| -0.709115296 | 1 | 0.1% | |
| -0.796709507 | 1 | 0.1% | |
| 0.405615593 | 1 | 0.1% | |
| 0.788053006 | 1 | 0.1% | |
| -0.521169406 | 1 | 0.1% | |
| Other values (1148) | 1148 | 98.7% |
| Value | Count | Frequency (%) | |
| -1.066400989 | 1 | 0.1% | |
| -1.066298572 | 1 | 0.1% | |
| -1.066248334 | 1 | 0.1% | |
| -1.066172838 | 1 | 0.1% | |
| -1.066153211 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 2.177948117 | 6 | 0.5% | |
| 2.177930513 | 1 | 0.1% | |
| 2.177785659 | 1 | 0.1% | |
| 2.174331346 | 1 | 0.1% | |
| 2.173316021 | 1 | 0.1% |
| Distinct count | 1163 |
|---|---|
| Unique (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | -0.02701195877 |
|---|---|
| Minimum | -0.054447739 |
| Maximum | 7.486295884 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 9.2 KiB |
Quantile statistics
| Minimum | -0.054447739 |
|---|---|
| 5-th percentile | -0.0543631249 |
| Q1 | -0.05424374 |
| median | -0.053821459 |
| Q3 | -0.051892963 |
| 95-th percentile | -0.0196290455 |
| Maximum | 7.486295884 |
| Range | 7.540743623 |
| Interquartile range (IQR) | 0.002350777 |
Descriptive statistics
| Standard deviation | 0.2868273153 |
|---|---|
| Coefficient of variation (CV) | -10.61853077 |
| Kurtosis | 487.2921749 |
| Mean | -0.02701195877 |
| Median Absolute Deviation (MAD) | 0.04770667544 |
| Skewness | 20.71477787 |
| Sum | -31.41490805 |
| Variance | 0.0822699088 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[-0.05444774 -0.05438816 -0.05419332 -0.05384821 -0.05333875 ... -0.03659348 -0.01855106 0.13138823 0.61931158 7.48629588], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| -0.054201659 | 1 | 0.1% | |
| -0.05439452 | 1 | 0.1% | |
| -0.052477972 | 1 | 0.1% | |
| -0.054360879 | 1 | 0.1% | |
| -0.053428821 | 1 | 0.1% | |
| -0.054287977 | 1 | 0.1% | |
| -0.054315462 | 1 | 0.1% | |
| -0.054292927 | 1 | 0.1% | |
| -0.049517502 | 1 | 0.1% | |
| -0.054350018 | 1 | 0.1% | |
| Other values (1153) | 1153 | 99.1% |
| Value | Count | Frequency (%) | |
| -0.054447739 | 1 | 0.1% | |
| -0.054434554 | 1 | 0.1% | |
| -0.054421333 | 1 | 0.1% | |
| -0.054420913 | 1 | 0.1% | |
| -0.054402215 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 7.486295884 | 1 | 0.1% | |
| 4.959006766 | 1 | 0.1% | |
| 2.084434133 | 1 | 0.1% | |
| 1.496449212 | 1 | 0.1% | |
| 1.340106645 | 1 | 0.1% |
Pearson's r
The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
Spearman's ρ
The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
Kendall's τ
Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
First rows
| P1 | P2 | P3 | P4 | P5 | P6 | P7 | P8 | P9 | |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 0.595378 | -0.531958 | 0.679654 | -0.126799 | 0.432046 | 0.988092 | -0.029813 | 0.768742 | -0.054167 |
| 1 | 0.982237 | 0.991481 | 0.337646 | 0.228144 | 0.920032 | 0.999985 | -0.032259 | 2.161651 | -0.054350 |
| 2 | 0.996162 | 0.893987 | 0.767413 | 0.606840 | 0.970808 | 0.882602 | -0.032267 | 0.369607 | -0.054157 |
| 3 | 0.999928 | 0.922748 | -0.444438 | -0.371287 | 0.528038 | -0.221645 | -0.032692 | -1.065439 | 0.381914 |
| 4 | 0.985838 | 0.937512 | 0.699592 | 0.585263 | 0.838804 | 0.999602 | -0.033713 | 2.089720 | -0.054379 |
| 5 | 0.994266 | 0.917955 | 0.441421 | 0.588541 | 0.714376 | 0.997314 | -0.030095 | 2.081266 | -0.054257 |
| 6 | 0.999478 | 0.989321 | 0.654139 | 0.705177 | 0.350525 | 0.877974 | -0.030984 | 0.605393 | -0.054116 |
| 7 | 0.999646 | 0.275265 | -0.333569 | -0.441022 | 0.576963 | 0.607380 | -0.032129 | 1.039586 | -0.054264 |
| 8 | 0.825371 | -0.248244 | 0.220238 | 0.128478 | 0.364443 | 0.951265 | -0.030247 | 1.512327 | -0.054221 |
| 9 | 0.999983 | 0.629482 | 0.034663 | -0.079224 | 0.941435 | 0.878837 | -0.032445 | 0.781914 | -0.054252 |
Last rows
| P1 | P2 | P3 | P4 | P5 | P6 | P7 | P8 | P9 | |
|---|---|---|---|---|---|---|---|---|---|
| 1153 | 1.000000 | 0.905699 | 0.000000 | 0.000000 | 0.265684 | 0.872164 | -0.032769 | 1.947519 | -0.054363 |
| 1154 | 1.000000 | 0.964776 | -0.414177 | -0.401836 | 0.935540 | 0.687023 | -0.033069 | -0.591688 | -0.053674 |
| 1155 | 0.999973 | 0.875812 | -0.141531 | -0.203786 | -0.026399 | 0.739077 | -0.034112 | -0.384740 | -0.054110 |
| 1156 | 0.989177 | 0.925273 | -0.327243 | -0.366597 | 0.329865 | 0.320186 | -0.032896 | -0.578614 | -0.053668 |
| 1157 | 0.999718 | 0.525421 | 0.089664 | -0.324932 | 0.895527 | -0.133320 | -0.032415 | -0.992041 | -0.048131 |
| 1158 | 1.000000 | 0.670847 | 0.566994 | 0.325485 | 0.263078 | 0.211872 | -0.030984 | -1.053454 | -0.004980 |
| 1159 | 0.999503 | 0.994784 | 0.847388 | 0.807294 | 0.992071 | 0.779629 | -0.032152 | -0.867659 | -0.051979 |
| 1160 | 0.999999 | 0.751775 | -0.209639 | -0.052031 | 0.818428 | 0.850427 | -0.032923 | -0.517706 | -0.053754 |
| 1161 | 0.999992 | 0.997277 | 0.199312 | 0.190436 | 0.534354 | 0.119579 | -0.032986 | -1.031108 | -0.043029 |
| 1162 | 0.999972 | 0.561715 | -0.152851 | -0.257109 | 0.988001 | 0.141271 | -0.032657 | -1.042708 | -0.035768 |